Final answer:
The statement that all DNA animal viruses have their genome replicated in the nucleus is false since certain DNA viruses, such as poxviruses, replicate in the cytoplasm, and RNA viruses typically do so as well, barring some exceptions like the Influenza virus.
Step-by-step explanation:
The statement 'The genome of all DNA animal viruses is replicated in the nucleus of the cell.' is False. While most DNA viruses replicate their genome within the nucleus of the host cell, there are exceptions. Certain large DNA viruses, such as poxviruses, are able to replicate in the cytoplasm of the host cell. Moreover, RNA viruses typically replicate in the cytoplasm, with some exceptions like the Influenza virus.
Viruses are indeed dependent on the host cell's machinery to reproduce. They are acellular entities that cannot replicate outside of a host cell. Depending on their type, DNA or RNA, their replication and expression mechanisms can vary. Also, not all viruses contain both DNA and RNA elements; rather, their genome consists of either DNA or RNA, not both simultaneously.
It's important to note that, while they do not replicate on their own and require the host cell's resources to do so, some DNA viruses do not follow the central dogma of molecular biology (DNA -> RNA -> Protein) in a straightforward manner due to variations in their genetic material.